Module Details

The information contained in this module specification was correct at the time of publication but may be subject to change, either during the session because of unforeseen circumstances, or following review of the module at the end of the session. Queries about the module should be directed to the member of staff with responsibility for the module.
Title INTRODUCTION TO STATISTICS
Code MATH162
Coordinator Dr BN Vasiev
Mathematical Sciences
B.Vasiev@liverpool.ac.uk
Year CATS Level Semester CATS Value
Session 2016-17 Level 4 FHEQ Second Semester 15

Aims

To introduce topics in Statistics and to describe and discuss basic statistical methods.

To describe the scope of  the application of these methods.


Learning Outcomes

  to describe statistical data;


 to use the Binomial, Poisson, Exponential and Normal distributions;

to perform simple goodness-of-fit tests

to use the package Minitab to present data, and to make statistical analysis


Syllabus

Introduction and description of data

Examples of what "Statistics" as a discipline is about, populations and samples, graphical summaries, shape, location and spread of data.

Elements of Probability Theory

Intuitive meaning of probability, events, compound events, conditional probability and Bayes'' rule.

Probability Distributions

Discrete and continuous random variables: the probability mass function, the probability density function and distribution function. Expectation and Variance. The Binomial and Poisson distributions. The Normal Distribution. Approximations.

Statistical Inference

The principles of hypothesis testing, the chi-squared test of goodness of fit, the chi-squared test of association, central limit theorem, Normal confidence intervals.

Statistics using Minitab.


Recommended Texts

Reading lists are managed at readinglists.liverpool.ac.uk. Click here to access the reading lists for this module.
Explanation of Reading List:

Pre-requisites before taking this module (other modules and/or general educational/academic requirements):

A-level mathematics 

Co-requisite modules:

 

Modules for which this module is a pre-requisite:

MATH262; MATH263; MATH264; MATH268; MATH261; MATH265; MATH273; MATH360; MATH361; MATH362; MATH363; MATH371; MATH373; MATH374; MATH375; MATH376; MATH480; MATH481; MATH482; MATH483; MATH366; MATH364 

Programme(s) (including Year of Study) to which this module is available on a required basis:

Programme:G100 Year:1 Programme:G101 Year:1 Programme:G110 Year:1 Programme:GN11 Year:1 Programme:G1N3 Year:1 Programme:GG13 Year:1 Programme:NG31 Year:1 Programme:GL11 Year:1

Programme(s) (including Year of Study) to which this module is available on an optional basis:

Programme:G1F7 Year:1 Programme:G1R9 Year:1,2 Programme:GR11 Year:1 Programme:GV15 Year:1 Programme:GG14 Year:1 Programme:BCG0 Year:1 Programme:L000 Year:1 Programme:Y001 Year:1 Programme:G1X3 Year:2

Assessment

EXAM Duration Timing
(Semester)
% of
final
mark
Resit/resubmission
opportunity
Penalty for late
submission
Notes
Unseen Written Exam  150  Second semester  80  Yes  Standard UoL penalty applies  Assessment 2 Notes (applying to all assessments) 10% Minitab practical homeworks, 10% coursework, 80% final exam. Final exam rubric: full marks will be awarded for complete answers to all questions.  
CONTINUOUS Duration Timing
(Semester)
% of
final
mark
Resit/resubmission
opportunity
Penalty for late
submission
Notes
Coursework    Second semester  20  None: exemption approved November 2007  University policy.  Assessment 1